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Finding the Third Proportional to 348,303.24 and 490,492.42

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Solution

The third proportional to 348,303.24 and 490,492.42 is: 690,728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,303.24 : 490,492.42 = 490,492.42 : x
  2. Step 2: Convert to fraction form
    348,303.24/490,492.42 = 490,492.42/x
  3. Step 3: Cross multiply
    348,303.24x = 490,492.42 × 490,492.42
  4. Step 4: Simplify right side
    348,303.24x = 240,582,809,210.85
  5. Step 5: Solve for x
    x = 240,582,809,210.85/348,303.24
  6. Step 6: Final answer
    x = 690,728.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.